11109253091872 has 192 divisors, whose sum is σ = 24053481204480. Its totient is φ = 5019936768000.

The previous prime is 11109253091801. The next prime is 11109253091887. The reversal of 11109253091872 is 27819035290111.

It is a super-3 number, since 3×11109253091872³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1695806997 + ... + 1695813547.

It is an arithmetic number, because the mean of its divisors is an integer number (125278547940).

Almost surely, 2^{11109253091872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109253091872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026740602240).

11109253091872 is an abundant number, since it is smaller than the sum of its proper divisors (12944228112608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11109253091872 is a wasteful number, since it uses less digits than its factorization.

11109253091872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

The spelling of 11109253091872 in words is "eleven trillion, one hundred nine billion, two hundred fifty-three million, ninety-one thousand, eight hundred seventy-two".